Caching Query String

My website that runs on Wordpress has WP Super Cache plugin installed and it is great because it creates a static HTML file and serves it to visitors which is really fast.

The problem I am experiencing is I run another plugin that generates URL with query strings such as http://www.raymond.cc/blog/download/?did=XX (replace XX with incremental numbers) and these type of URLs are not super cached by design.

I can't find a way to force WP Super Cache to super cache URLs with query strings so I am wondering if I can somehow make use of LiteSpeed to cache these types of URLs?

If it is possible, how should I configure LiteSpeed to ONLY cache URL with query strings that has "?did=XX"